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Let f:IRrarrIR be defined as f(x)=|x|+|x...

Let `f:IRrarrIR` be defined as `f(x)=|x|+|x^2-1|`.The total number of points at which f attains either a local maximum or a local minimum is

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
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  3. Let f(x)=sinx+2cos^2x,pi/4lexle(3pi)/4. then f attains its

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  4. Let exp(x) denote exponential function e^x. If f(x)=exp(x^(1/x)).xgt0 ...

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  5. The minimum value of the function f(x)=2|x-1|+|x-2| is

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  6. Let f(x)={(x^2|cos"pi/x|,xne0),(0,x=0):}

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  7. The function f:[0,3]rarr[1,29], defined by f(x)=2x^3-15x^2+36x+1 is

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  8. if f(x)oversetxunderseto(int)e^(t^2)(t-2)(t-3)dt for all x in(0,oo), t...

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  9. Let f:IRrarrIR be defined as f(x)=|x|+|x^2-1|.The total number of poin...

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  10. Let p(x) be a real polynomial of least degree which has a local maximu...

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  11. xx

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  12. Let f(x)=(1-x)^2sin^2x+x^2 for all xinR and let g(x)=int1^x((2(t-1))/(...

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  13. A spherical balloon is filled with 4500 pi cubic meters of helium gas....

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  14. Let a, binR be such that the function f given by f(x)=ln|x|+bx^2+ax,xn...

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  15. If f is a real-valued differentiable function such that f(x) f'(x)lt0 ...

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  16. Rolle’s theorem is applicable in the interval [-2, 2] for the function

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  17. Let y=((3^x-1)/(3^x+1))sinx+loge(2+x),xgt-1. Then at x=0 dy/dx equals

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  19. For -pi/2ltxlt(3pi)/2, the value of d/dx{tan^(-1)"cosx/(1+sinx)} is eq...

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  20. If f(x) and g(x) are twice differentiable functions on (0,3) satisfyin...

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